This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…

This action research aims to develop the ability to solve mathematical problems, particularly in polygons, through open-approach learning management for sixth-grade students, with the goal of achieving an average score exceeding 70% of the total possible score. The target group consisted of eight students in the second semester of the academic…

This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…

This pressing issue requires immediate attention and action. Education, particularly STEM education, is one of the key areas that can contribute to addressing this issue. STEM education is an alternative learning strategy that can enhance students' problem-solving and decision-making skills in relation to the challenges posed by the need for clean…

To help young students succeed in problem-based learning (PBL), researchers suggested investigating students' need for cognition (NFC), one's inclination to exert mental effort during learning. How one puts mental effort into a learning task is related to motivation. If motivated, students are more likely to engage in challenging tasks, put in…

This article examines students' opinions regarding the use of artificial intelligence (AI) as a teammate in solving complex problems. The overarching goal of the study is to explore the effectiveness of AI as a collaborative partner in educational settings. In the study, 15 groups of grade 9 students (59 students total) were assigned a challenging…

Mathematics is most engaging when students see the relevance to their own lives and communities (Civil, 2002; National Council of Teachers of Mathematics [NCTM], 2000). The Temporary Skate-Safe Area task is an example of how mathematical modeling can be used to solve a real-world problem in a way that promotes mathematical belonging, social…

With the aim of engaging more students in meaningful thinking in mathematics, a cohort of Year 7 students were introduced to a 'Building Thinking Classrooms' framework for learning in mathematics. In this paper, the authors outline the key features of the implemented framework and share reflections on challenges and benefits.

Mathematical beliefs and metacognitive knowledge play significant roles in solving mathematical problems; thus, this study aims to investigate the influence of middle school students' beliefs on their metacognitive knowledge when solving geometry problems. This study utilizes both quantitative and qualitative research methods. A linear regression…

This paper examined the ability of students to pose a problem in a free posing situation about sets in terms of the problem text, compatibility with mathematics principles, the problem type and structure, solvability, and mathematical complexity. Additionally, students were probed to determine the difficulties they encountered during the problem…

Multilingual learners (MLs) encounter key language features that influence their mathematical word problem-solving processes. Much of the readily available literature surrounding MLs' experiences in the mathematics classroom explores either their content knowledge or how language affects their mathematics achievement. Far less literature has…

The aim of this study was to examine the effects of STEM activities on students' attitudes towards STEM and problem-solving skills by taking their components into account. An experimental design with pretest-posttest control group was applied in the study. Quantitative and qualitative data collection tools were used. The participants of the study…

The aim of this study was to determine the visual measurement results related to the behavior/processes of solving skill-based science questions of eighth grade students by eye tracking technique. Non-experimental quantitative research method was used in the research and visual measurement results were supported by heat maps and eye splash…

This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…

STEM, the integration of science, technology, engineering, and mathematics subjects is a popular topic as schools grapple with how to best prepare students for an ever-evolving society. As societal and technological challenges emerge, design thinking has been lauded as a method to enable people to help tackle those challenges. The steps of the…